45712000 has 64 divisors (see below), whose sum is σ = 113691240. Its totient is φ = 18278400.

The previous prime is 45711989. The next prime is 45712013. The reversal of 45712000 is 21754.

It can be written as a sum of positive squares in 4 ways, for example, as 17239104 + 28472896 = 4152^2 + 5336^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14572 + ... + 17428.

Almost surely, 2^45712000 is an apocalyptic number.

45712000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56845620).

45712000 is an abundant number, since it is smaller than the sum of its proper divisors (67979240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45712000 is an equidigital number, since it uses as much as digits as its factorization.

45712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2886 (or 2864 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 45712000 is about 6761.0650048642. The cubic root of 45712000 is about 357.5554545824. Note that the first 3 decimals are identical.

Adding to 45712000 its reverse (21754), we get a palindrome (45733754).

The spelling of 45712000 in words is "forty-five million, seven hundred twelve thousand".